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Finding the Fourth Proportional to 3,134.96, 4,326.16 and 1,737.68

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Solution

The fourth proportional to 3,134.96, 4,326.16 and 1,737.68 is: 2,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.96 : 4,326.16 = 1,737.68 : x
  2. Step 2: Convert to fraction form
    3,134.96/4,326.16 = 1,737.68/x
  3. Step 3: Cross multiply
    3,134.96x = 4,326.16 × 1,737.68
  4. Step 4: Simplify right side
    3,134.96x = 7,517,481.71
  5. Step 5: Solve for x
    x = 7,517,481.71/3,134.96
  6. Step 6: Final answer
    x = 2,397.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.